Browsing Masters Degrees (Applied Mathematics) by Title
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Matrices of graphs and designs with emphasis on their integral eigenpair balance characteristic.
(20150105)The interplay between graphs and designs is well researched. In this dissertation we connect designs and graphs entirely through their associated matrices – the incidence matrix for designs and the adjacency matrix for ... 
Matrix models of population theory.
(20140512)Nonnegative matrices arise naturally in population models. In this thesis, we first study Perron Frobenius theory of nonnegative irreducible matrices. We use this theory to investigate the asymptotic behaviour ... 
Modelling the response of cytotoxic tlymphocytes in controlling solid tumour invasion.
(20131220)We present mathematical models to study the mechanism of interaction of tumour infiltrating cytotoxic lymphocytes (TICLs) with tumour cells. We focus on the phase spaces of the systems and the nature of the solutions for ... 
New class of LRS spacetimes with simultaneous rotation and spatial twist.
(2016)In this thesis we study Locally Rotationally Symmetric (LRS) spacetimes in which there exists a unique preferred spatial direction at each point. The conventional 1+3 decomposition of spacetime is extended to a 1+1+2 ... 
New classes of exact solutions for charged perfect fluids.
(20140328)We investigate techniques to generate new classes of exact solutions to the Einstein Maxwell field equations which represent the gravitational field of charged perfect fluid spherically symmetric distributions of ... 
New classes of exact solutions in relativistic astrophysics.
(2015)The description of highly compact objects in a general relativistic setting is a problem of present research. The relativistic e ects arising from the presence of the electric eld and anisotropy are included in our ... 
New realistic solutions for charged matter with an equation of state.
The purpose of this thesis is to provide new exact solutions to the EinsteinMaxwell system which are physically reasonable. We assume that the spacetime is static and spherically symmetric with a charged anisotropic ... 
New solutions for nonlinear perfect fluids.
(2016)We investigate the Einstein system that governs the evolution of uncharged shearfree spherically symmetric fluids. First we present the Einstein equations for the static spherically symmetric gravitational fields in ... 
Nonclassical solutions of hyperbolic conservation laws.
This dissertation studies the nonclassical shock waves which appears as limits of certain type diffusivedispersive regularisation to hyperbolic of conservation laws. Such shocks occur very often when the ux function ... 
Numerical solution of the KleinGordon equation in an unbounded domain.
(2018)Abstract available in PDF file. 
On Stephani universes.
(1992)In this dissertation we study conformal symmetries in the Stephani universe which is a generalisation of the RobertsonWalker models. The kinematics and dynamics of the Stephani universe are discussed. The conformal ... 
On the integrity of domination in graphs.
(1993)This thesis deals with an investigation of the integrity of domination in a.graph, i.e., the extent to which domination properties of a graph are preserved if the graph is altered by the deletion of vertices or edges or ... 
On the physical viability of horizonfree collapse.
(20150904)The socalled Cosmic Censorship Conjecture has drawn widespread attention amongst astrophysicists and particle physicists. In particular, the endstate of gravitational collapse of a bounded matter distribution is a ... 
Relativistic spherical stars.
(1993)In this thesis we study spherically symmetric spacetimes which are static with a perfect fluid source. The Einstein field equations, in a number of equivalent forms, are derived in detail. The physical properties of a ... 
Relativistic thermodynamics of radiating stars.
(2016)In this research, on the topic of relativistic thermodynamics of radiating stars, the following three case studies are investigated: Gravitational collapse in spacially isotropic coordinates { The nature of a ... 
Searching for exoplanets using the transit method.
(2017)We present a study designed to detect transiting exoplanets in Kepler light curve data. We developed an exoplanet detection algorithm based on modelling transit light curves and fitting the models to light curve data ... 
Shearfree models for relativistic fluids with heat flow and pressure isotropy.
(2014)We model the interior dynamics of a relativistic radiating fuid in a nonstatic spher ically symmetric spacetime. The matter distribution takes the form of an imperfect fuid with a nonvanishing radially directed heat ... 
Solution generating algorithms in general relativity.
(2011)We conduct a comprehensive investigative review of solution generating algorithms for the Einstein field equations governing the gravitational behaviour of an isolated neutral static spherical distribution of perfect ... 
Some Mal'cev conditions for varieties of algebras.
(1991)This dissertation deals with the classification of varieties according to their Mal'cev properties. In general the so called Mal'cevtype theorems illustrate an interplay between first order properties of a given class ... 
Southern African Large Telescope observations of SunyaevZel'dovich effect selected clusters from the Atacama Cosmology Telescope.
(2014)We present Southern African Large Telescope (SALT) followup observations of seven massive clusters detected by the Atacama Cosmology Telescope (ACT) using the SunyaevZel’dovich effect (SZE). We conducted multiobject ...